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Finding the Fourth Proportional to 159,042.86, 219,474.24 and 87,422.66

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Solution

The fourth proportional to 159,042.86, 219,474.24 and 87,422.66 is: 120,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,042.86 : 219,474.24 = 87,422.66 : x
  2. Step 2: Convert to fraction form
    159,042.86/219,474.24 = 87,422.66/x
  3. Step 3: Cross multiply
    159,042.86x = 219,474.24 × 87,422.66
  4. Step 4: Simplify right side
    159,042.86x = 19,187,020,764.91
  5. Step 5: Solve for x
    x = 19,187,020,764.91/159,042.86
  6. Step 6: Final answer
    x = 120,640.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.